Arthur's Invariant Trace Formula and Comparison of Inner by Yuval Flicker PDF

By Yuval Flicker

This monograph presents an available and finished creation to James Arthur’s invariant hint formulation, a vital device within the concept of automorphic representations.  It synthesizes 20 years of Arthur’s learn and writing into one quantity, treating a hugely unique and sometimes tricky topic in a clearer and extra uniform demeanour with no sacrificing any technical details. 

The booklet starts off with a short evaluate of Arthur’s paintings and an explanation of the correspondence among GL(n) and its internal varieties typically.  Subsequent chapters strengthen the invariant hint formulation in a kind healthy for purposes, beginning with Arthur’s evidence of the elemental, non-invariant hint formulation, via a learn of the non-invariance of the phrases within the simple hint formulation, and, eventually, an in-depth examine the improvement of the invariant formulation.  The ultimate bankruptcy illustrates using the formulation via evaluating it for G’ = GL(n) and its internal shape G< and for services with matching orbital integrals.

Arthur’s Invariant hint formulation and comparability of internal Forms will attract complicated graduate scholars, researchers, and others attracted to automorphic varieties and hint formulae.  Additionally, it may be used as a supplemental textual content in graduate classes on illustration theory.

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Arthur's Invariant Trace Formula and Comparison of Inner Forms by Yuval Flicker

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